The combined use of Variable Geometry Turbine (VGT) and Exhaust Gas Recirculation (EGR) gives us an opportunity to reduce emissions, without compromising the need to generate more power. In the present work, a multivariable approach is used to tackle the EGR-VGT actuator control problem. A linear multivariable controller is designed using Lyapunov's Indirect Method, based on the Jacobian matrix of the system. Then, some stronger conditions are sought to be satisfied by the Jacobian matrix, which would ensure the Global Asymptotic Stability of the system. These conditions are derived using Nonlinear Contraction Analysis. Finally, simulations are performed on a simplified model with three states to evaluate the performance of the controllers.

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